Question

A triangle on a coordinate plane is translated according to the rule T-3,5(x, y). Which is another way to write this rule?

(x, y) - (x - 3, y + 5)
(x, y) - (x-3, y-5)
(x,y) - (x + 3, y-5)
(x, y) = (x + 3, y + 5)

Answer 1

Answer: Choice A.
`(x,y) \to (x-3, y+5)`

Step-by-step explanation:

The notation
`T_(-3,5)(x,y)` or means to move any point (x,y) along the vector <-3,5>. Put another way, it says to shift (x,y) three units to the left and five units up. The x portion deals with left or right shifting, the y portion deals with up or down shifting. Since the x portion is negative, we go in the negative direction on the x axis. Y being positive means we move up rather than down.

This all means we end up with the translation rule
`(x,y) \to (x-3,y+5)`